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Finding the Fourth Proportional to 9,804.83, 13,528.47 and 5,555.52

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Solution

The fourth proportional to 9,804.83, 13,528.47 and 5,555.52 is: 7,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.83 : 13,528.47 = 5,555.52 : x
  2. Step 2: Convert to fraction form
    9,804.83/13,528.47 = 5,555.52/x
  3. Step 3: Cross multiply
    9,804.83x = 13,528.47 × 5,555.52
  4. Step 4: Simplify right side
    9,804.83x = 75,157,757.22
  5. Step 5: Solve for x
    x = 75,157,757.22/9,804.83
  6. Step 6: Final answer
    x = 7,665.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.